1. Suppose that Y], . . . ,Yn are a random sample from a Uniform(0, 3) distribution where 3 > 0 is a parameter. Consider the following three estimators of 19, namer (n+1) 951:2? 2=[n+l)min{Y1,...,Yn}, and g: - max{Y1,. . . ,Yn}. When answering the following questions, you do not need to redo any calculations that we did in class. You may just cite the results of those class calculations. (a) Verify that l is an unbiased estimator of IQ, and determine the meansquare error of 51. (b) Verify that HA2 is an unbiased estimator of H, and determine the meannsquare error of fig. (c) Verify that g is an unbiased estimator of H, and determine the mean'square error of g. ((1) Compute Eff (l, 9:2). In this case, which of HA1 and 93 is preferred for the estimation of I9? (e) Compute Eff (32, g). In this case, which of 9:2 and {ii-q. is preferred for the estimation of 19'? (f) In class we computed Eff(61,63}. Combine this result along with your answers to (d) and (e) to decide which of 6'1, 92, and 19-; 1s preferred for the estimation of